Volume of prisms and pyramids
Grade 7 Math Worksheet - Building Confidence

Circle the best answer, or write your answer on the line.
Ari's gift box is 3.5 in long, 2 in wide and 4 in tall, built from layers 1 in tall. The ribbon is extra curly. What is its volume in cubic inches?
Esme's wooden block is 4.5 cm long, 2 cm wide and 3 cm tall, built from layers 1 cm tall. It has been in many towers. What is its volume in cubic cm?
Grid, each square 0.5 cm by 0.5 cm. The floor of the box: a rectangle 4.5 cm by 2 cm, shaded as one layer. A side sketch, not to scale, shows 3 layers stacked, each 1 cm tall. Grid, each square 0.5 cm by 0.5 cm. The floor of the box: a rectangle 4.5 cm by 2 cm, shaded as one layer. A side sketch, not to scale, shows 3 layers stacked, each 1 cm tall. Grid, each square 0.5 cm by 0.5 cm 3 layers stacked, each 1 cm tall 4.5 cm 2 cm The floor of the box is shaded as one layer. A side sketch is not to scale. Jun's cheese wedge is a prism 5 cm long. Its end is half of a rectangle 8 cm by 6 cm. The mice have heard about it. What is its volume in cubic cm?
Grid, each square 1 cm by 1 cm. The end of the prism: a right triangle with base 8 cm, height 6 cm and slanted side 10 cm. A turned copy beside it makes a rectangle 8 by 6. A side sketch, not to scale, shows the prism 5 cm long. Grid, each square 1 cm by 1 cm. The end of the prism: a right triangle with base 8 cm, height 6 cm and slanted side 10 cm. A turned copy beside it makes a rectangle 8 by 6. A side sketch, not to scale, shows the prism 5 cm long. Grid, each square 1 cm by 1 cm 8 cm 6 cm 10 cm The end of the prism is a right triangle. A turned copy beside it makes a rectangle 8 by 6. side sketch 5 cm Not to scale. Noah's craft box is a prism 3 in long. Its end is a trapezoid: parallel sides 5.5 and 2.5 in, height 4 in. The glitter went everywhere. What is its volume in cubic inches?
Grid, each square 0.5 in by 0.5 in. The end of the prism: a trapezoid with bottom side 5.5 in, top side 2.5 in, left side straight up (4 in, the height) and right side slanted (5 in). A second copy, turned upside down, fits against the slanted side; the two make a rectangle 8 in wide and 4 in tall. A side sketch, not to scale, shows the prism 3 in long. Grid, each square 0.5 in by 0.5 in. The end of the prism: a trapezoid with bottom side 5.5 in, top side 2.5 in, left side straight up (4 in, the height) and right side slanted (5 in). A second copy, turned upside down, fits against the slanted side; the two make a rectangle 8 in wide and 4 in tall. A side sketch, not to scale, shows the prism 3 in long. 5.5 in 2.5 in 4 in 5 in 8 in 3 in Not to scale. Pia's treasure box is a prism 2 in long. Its end is a trapezoid: parallel sides 4.5 and 1.5 in, height 4 in. It guards one shiny button. What is its volume in cubic inches?
Grid, each square 0.5 in by 0.5 in. The end of the prism: a trapezoid with bottom side 4.5 in, top side 1.5 in, left side straight up (4 in, the height) and right side slanted (5 in). A second copy, turned upside down, fits against the slanted side; the two make a rectangle 6 in wide and 4 in tall. A side sketch, not to scale, shows the prism 2 in long. Grid, each square 0.5 in by 0.5 in. The end of the prism: a trapezoid with bottom side 4.5 in, top side 1.5 in, left side straight up (4 in, the height) and right side slanted (5 in). A second copy, turned upside down, fits against the slanted side; the two make a rectangle 6 in wide and 4 in tall. A side sketch, not to scale, shows the prism 2 in long. 4.5 in 1.5 in 4 in, the height 5 in 6 in wide 4 in tall 2 in long A second copy, turned upside down, fits against the slanted side. A side sketch, not to scale, shows the prism 2 in long. Zee's castle tower roof has a base of 36 square cm and is 5 cm tall. Three of these pyramids fill the matching prism. Flag up. What is its volume in cubic cm?
Sketch, not to scale. A pyramid and a prism with the same base (36 square cm) and the same height (5 cm). Three pyramids fill the prism. Sketch, not to scale. A pyramid and a prism with the same base (36 square cm) and the same height (5 cm). Three pyramids fill the prism. 5 cm 5 cm same base (36 square cm) and the same height (5 cm). Three pyramids fill the prism. Not to scale. Ari's pyramid tent has a base of 27 square ft and is 4 ft tall. Three of these pyramids fill the matching prism. The marshmallows are waiting. What is its volume in cubic feet?
Sketch, not to scale. A pyramid and a prism with the same base (27 square ft) and the same height (4 ft). Three pyramids fill the prism. Sketch, not to scale. A pyramid and a prism with the same base (27 square ft) and the same height (4 ft). Three pyramids fill the prism. pyramid 4 ft base 27 square ft prism same height 4 ft same base 27 square ft Three pyramids fill the prism. Esme's cheese wedge is a prism. Its end is half of a rectangle 9 cm by 12 cm, with slanted side 15 cm. Mice approve. What is its end's area (one layer) in square cm?
Grid, each square 1 cm by 1 cm. The end of the prism: a right triangle with base 9 cm, height 12 cm and slanted side 15 cm. A turned copy beside it makes a rectangle 9 by 12. Grid, each square 1 cm by 1 cm. The end of the prism: a right triangle with base 9 cm, height 12 cm and slanted side 15 cm. A turned copy beside it makes a rectangle 9 by 12. 9 cm 12 cm 15 cm Jun's toy ramp is a prism. Its end is half of a rectangle 20 cm by 15 cm, with slanted side 25 cm. Zoom zoom. What is its end's area (one layer) in square cm?
Grid, each square 1 cm by 1 cm. The end of the prism: a right triangle with base 20 cm, height 15 cm and slanted side 25 cm. A turned copy beside it makes a rectangle 20 by 15. Grid, each square 1 cm by 1 cm. The end of the prism: a right triangle with base 20 cm, height 15 cm and slanted side 25 cm. A turned copy beside it makes a rectangle 20 by 15. 20 cm 15 cm 25 cm Noah's model recycling bin is a prism. Its end is a trapezoid: parallel sides 7 and 4 in, height 4 in. It is tidy. What is its end's area (one layer) in square inches?
Grid, each square 1 in by 1 in. The end of the prism: a trapezoid with bottom side 7 in, top side 4 in, left side straight up (4 in, the height) and right side slanted (5 in). A second copy, turned upside down, fits against the slanted side; the two make a rectangle 11 in wide and 4 in tall. Grid, each square 1 in by 1 in. The end of the prism: a trapezoid with bottom side 7 in, top side 4 in, left side straight up (4 in, the height) and right side slanted (5 in). A second copy, turned upside down, fits against the slanted side; the two make a rectangle 11 in wide and 4 in tall. 7 in 4 in 4 in 5 in 11 in